Why is 1 + (−5) equal to −4?


Because it is 5 units to the right of 1 on a horizontal number line

Because it is 5 units to the left of 0 on a horizontal number line

Because it is 5 units to the right of 0 on a horizontal number line

Because it is 5 units to the left of 1 on a horizontal number lin

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

The ratio of the number of students who joined the class to the number of students who were initially in the class is 2:1.

Age ratio refers to the comparison of the number of individuals in different age groups in a population. It is often expressed as a ratio or percentage of the number of people in a particular age group to the total population or the number of people in another age group.

Given by the question.

Now, when the group of students with an average age of 16 years joins the class, the average age of all the students becomes 17 years. This means that the total age of all the students in the class would now be 17 times the total number of students.

Let "y" be the number of students who joined the class. Then, the total number of students in the class after they joined would be x + y.

So, we have two equations:

18x = 17(x+y) (because the total age of all the students remains the same before and after the group joins)

16y = (x+y)*1 (because the average age of the new group is 16)

Simplifying the above equations, we get:

x = 17y

x = 34y

Equating both the equations, we get:

17y = 34y

y = 2

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Answer:

42.84 cm

Step-by-step explanation:

It would be easiest to split this first. To find the circumference of a circle, it is 2πr.

d= 12

r= 6

C= 2π6

C= 12π

Divide by 2 because you are only trying to get the circumference of half the circle.

C= 6π

Now you can add all the other sides to find the total perimeter.

P= 6(3.14) + 10 + 6 + 8

P= 42.84 cm

Answer:

61.68cm

Step-by-step explanation:

semicircle=12x2x3.14x1/2=37.68

trapezium=10+6+8=24

s+t=61.68cm

Answer:

40.3291139241

Step-by-step explanation:

no, thank you

Answer: You get 40.36 first. If it is by nearest tenth, then 40.4. Nearest ten, then 40

Susan predicts that private school pupils will perform better than the general populace. The best description for this type of test is a right-tailed test.

In this scenario, Susan is testing the hypothesis that the mean score of the students of the private school is greater than 572, which is the mean score of the general population. This type of test, where the alternative hypothesis is "greater than" a specified value, is known as a right-tailed test or a one-tailed test (since the test is only considering one direction of deviation from the null hypothesis).

So the correct answer is d) a right-tailed test or a one-tailed test.

The complete question is:-

Susan hypothesizes that the students of a private school will score higher than the general population. Susan records a sample mean equal to 578 and states the hypothesis as μ= 572 vs μ>572. Select the best description for this type of test. a.) lower-tailed test b.) left-tailed test c.) two-tailed test d.) right-tailed test.

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Formula for the Slope: (y2 - y1) / (x2 - x1)

You can use any two points to find the slope, as long as those two points are on the line.

Point 1 = (-2, 8)

Point 2 = (0, 0)

Slope = (0 - 8) / (0 - - 2)

Slope = -8 / 2

Slope = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

The formula to find the slope is (change in y)/(change in x). In other words, rise over run.

If we look at the data, we can see that the x and y value changes.

x value: -3 --> -2 --> -1 --> 0 --> 1

y value: 12 --> 8 --> 4 --> 0 --> -4

When y changed from 12 to 8, the x changed from -3 to -2.

y: 12 --> 8

x: -3 --> -2

There was a difference of -4 in the y and a difference of 1 in the x.

At the top, I wrote that the slope was (change in y)/(change in x)

With -4 and 1 we found, we can say that the slope is -4/1.

If we simplify this answer, we end up with -4.

So -4 is the slope of the data.

Answer:

3.5595feet

Step-by-step explanation:

Given the function f(x)=15(.75)^x which models the height of the ball in feet of each bounce, where x is the bounce number. The height after the 5th bounce will be gotten by substituting x = 5 into the function

f(x)=15(.75)^x

f(5)=15(.75)^5

f(5)=15(0.2373)

f(5)= 3.5595

Hence the height after the 5th bounce is 3.5595feet

Answer:the answer is 3.6 if you’re rounding to the nearest 10th of a foot

Step-by-step explanation:

.75 to the power of 5 times 15

Answer:

4

Step-by-step explanation:

3 and 5/8 is closer to 4 then 3 easy

Answer:

1. 30

2. x = 0

3. x = 10

4. 11.7

5. 60

Step-by-step explanation:

Answer:

212 feet fallen after 7 seconds

Step-by-step explanation:

You visit the Grand Canyon and drop a penny off the edge of the cliff. The distance the penny will fall is 32ft for the first second, 62ft the next second, 92ft the third second, and so on. How far will the penny have traveled after 7 seconds?

if 32 ft for 1 second

if 62 ft for 2 second

if 92 ft for 3 second

We see that the penny from second 1, falls an addition 30 ft/s.

equation: 32 + 30 (t - 1)

when t = 7 seconds:

32 + 30 (7 - 1)

32 + 30 (6)

32 + 180

= 212 feet fallen after 7 seconds

Answer: 1:2  or 1/2 or 1 to 2

Step-by-step explanation:

Boys=10

Girls= 20

Boys:Girls::10:20::1:2

The correct answer is V = E - F. This equation allows us to calculate the amount of variable expenses (V) by subtracting the fixed expenses (F) from the total expenses (E).

To rearrange the total expense equation E = F + V and calculate the amount of variable expenses (V), we need to isolate V on one side of the equation. By subtracting F from both sides, we can find the expression for V:

E - F = F + V - F

Simplifying further:

E - F = V

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bottom was cut off a bit its 4=b

Answer:

4/9 is the answer for this question

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4.999....  ---------(I)

After decimal point only one digit is repeating. So multiply both sides by 10

10x = 49.999.....(II)

subtract (I) from (II)

10x = 49.999...

x    =   4.999....  {subtract}

   9x = 45

    x = 45/9

x = 5/1

Answer:

2,075 = 5 × 5 × 83

√2,075 = 5√83 = about 45.55

The correct statement that describes the two functions A

Function is a type of relation, or rule, that maps one input to specific single output.

Given;

Ryan: 3 boxes per hour

Daniel: y=4h

Ryan's function;

In 1 hour, he can pack 3 boxes.

In hours, he can pack 3h boxes.

So, the equation will become;

y=3h

Now, we have;

y=3h Ryan

y=4h Daniel

Both functions represent direct proportional functions.

So, when h increases y also increases.

Therefore, Daniel's function has a greater rate of change because implies that he can pack 4 boxes per hour while Ryan can pack 3;

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The projected error of this sample would be an understatement of $2,000.

Hence, the correct option is A.

Step 1. In a probability-proportional-to-size sample, the projected error can be determined by calculating the difference between the recorded amount and the audit amount, and then scaling it up to the population using the sampling interval.

Step 2. Given:

Sampling interval = $5,000

Recorded amount = $10,000

Audit amount = $8,000

Step 3. Projected error = (Audit amount - Recorded amount) * (Population size / Sample size)

Step 4. In this case, since it is mentioned that this is the only error discovered by the auditor, the sample size can be assumed to be 1.

Projected error = ($8,000 - $10,000) * (Population size / 1)

Step 5. Since the error is the difference between the recorded amount and the audit amount, and the audit amount is lower than the recorded amount, it indicates an understatement.

Therefore, the projected error of this sample would be an understatement of $2,000.

Hence, the correct option is A.

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Answer: whats the equation

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

y= -2

Step-by-step explanation:

Answer:

\(y=2\)

Step-by-step explanation:

Well first move the 6 to the right side to isolate the y by taking 6 away from both sides to get \(-5y=10\). Then divide both sides by -5 to get \(y=2\). Hope this helps!

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

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Answer:

Angle 1 is 35°, angle 2 is 60°, and angle 3 is 85°

Step-by-step explanation:

In seeing the measures of the angles from the problem, we see that angle 1 can be represented as x, and all the other angles rely on the value of x, so then an equasion can be built.

Angle 1 is represented as x,

Since angle 2 is 10 less than 2 times angle 1's value, it is represented as 2x-10.

Since angle 3 is 25 more than the second, you add 25 to angle 2's value, which leaves us with 2x+15.

In adding all these values together, we get \(5x+5=180\). We then subtract 5 from both sides, leaving us with \(5x=175\), and then we divide both sides by 5 to get \(x=35\).

We then plug in x's value to find the measures of the angles.

For angle 1:35=35,

For angle 2: 2(35)-10=60

For angle 3: 2(35)+15=85.

Finally, to double check, add the values of 35, 60, and 85 together, which equals 180

The monthly payment on a 30-year, $205,000 loan with a 5.0% interest rate would be $1,073.51, with $926.23 of that being interest.

To calculate the monthly payment on a 30-year, $205,000 loan with a 5.0% interest rate, you first need to calculate the monthly interest rate. This can be done by dividing the annual interest rate (5.0%) by 12: 5.0% / 12 = 0.416%.

Next, you need to calculate the monthly payment by using this formula: Monthly Payment = \(Loan Amount x [Interest Rate / (1 – (1 + Interest Rate)^-N)]\)

In this example, the loan amount is $205,000, the interest rate is 0.416%, and N is 360 (the number of payments over 30 years). Plugging this into the formula gives us:

\(Monthly Payment = $205,000 x [0.416% / (1 – (1 + 0.416%)^-360)]]\)]

This gives a monthly payment of $1,073.51. To calculate the interest portion of the payment, multiply the loan amount by the monthly interest rate (0.416%): $205,000 x 0.416% = $926.23. Thus, the interest portion of the monthly payment is $926.23.

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Answer:

ree kid it is 3409,3567

Step-by-step explanation:

Answer:

HI! The answer should be around 340.194 grams

Step-by-step explanation:

Calculated it

Answer:

340.194 grams inside the can of orange juice.

Step-by-step explanation:

Answer:

x=√2 or x=−√2

Let's solve your equation step-by-step.

6=3x2

Step 1: Subtract 3x^2 from both sides.

6−3x2=3x2−3x2

−3x2+6=0

Step 2: Subtract 6 from both sides.

−3x2+6−6=0−6

−3x2=−6

Step 3: Divide both sides by -3.

−3x2

−3

=

−6

−3

x2=2

Step 4: Take square root.

x=±√2

x=√2 or x=−√2

Answer: 25$

Step-by-step explanation:

3:00 per hour x 20 - 3.30

Answer:

look below

Step-by-step explanation:

The common ratio is 1:4 because we are multiplying the previous number by 4

The nth term for this sequence is quite simple. To find the nth term, take the base, 3, and multiply by the nth 4th. This can be written as 3*4^n+1

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

Answer:

see explanation

Step-by-step explanation:

the sequence is geometric and has common ratio r

(a)

r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{12}{3}\) = 4

(b)

the nth term of a geometric sequence is

\(a_{n}\) = a₁ \(r^{n-1}\)

where a₁ is the first term and r the common ratio

here a₁ = 3 and r = 4 , then

\(a_{n}\) = 3 . \(4^{n-1}\)